Explain The Boolean Equations for Logic Circuits?

A Boolean equation is the mathematical representation of a logic circuit using standard Boolean terms. All the logic gates (AND, OR, NAND, NOR, and so on) can be represented by the Boolean expression. Most of the logic circuits consist of multiple logic gates. The single Boolean equation can be used to represent these logic circuits.

Any logic circuit with no matter how complex may be completely described using the Boolean operations because the OR gate, AND gate, and NOT circuit are the basic building blocks of digital systems.

This is an illustration of the circuit using Boolean expression:

If an expression contains both the AND and OR operations, the AND operations are performed first (X=AB+C: AB is performed first) unless there are parentheses in the expression in which case the operation inside the parentheses is to be performed first (X= (A+B) +C: A+B is performed first).

Whenever an INVERTER is present in the logic-circuit diagram its output expression is merely equal to the input expression with a prime (') over it.